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Finding the Fourth Proportional to 76,392, 105,420.96 and 42,857.28

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Solution

The fourth proportional to 76,392, 105,420.96 and 42,857.28 is: 59,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,392 : 105,420.96 = 42,857.28 : x
  2. Step 2: Convert to fraction form
    76,392/105,420.96 = 42,857.28/x
  3. Step 3: Cross multiply
    76,392x = 105,420.96 × 42,857.28
  4. Step 4: Simplify right side
    76,392x = 4,518,055,600.59
  5. Step 5: Solve for x
    x = 4,518,055,600.59/76,392
  6. Step 6: Final answer
    x = 59,143.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.